Ranking with Ties

Ranking with Ties problems involve situations where multiple persons share the same rank (e.g., same marks in an exam). You must determine how many students scored more, less, or the same given the tied rank. These problems test your understanding of how ties affect rank interpretation.

10Worksheets
200+Practice Questions
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1-2 hoursHours to Master

Introduction to Ranking with Ties

Ranking with Ties problems involve situations where multiple persons share the same rank (e.g., same marks in an exam). You must determine how many students scored more, less, or the same given the tied rank. These problems test your understanding of how ties affect rank interpretation.

Prerequisites

Rank concept Understanding of tied ranks Counting students above/below Number of students with same rank
Why This Matters: Ranking with Ties problems appear in 1-2 questions in SSC CGL and Banking PO exams. They test handling of tied ranks.

How to Solve Ranking with Ties Problems

1

Step 1: Identify the given rank and the number of students with that rank

2

Step 2: Students who scored more = Rank - 1

3

Step 3: Students who scored less = Total - (Rank + Number of ties - 1)

4

Step 4: Students with same rank = given tie count

5

Step 5: The rank number indicates that there are (Rank - 1) students with higher scores

6

Step 6: Even with ties, the rank number is the position counting from top

7

Step 7: Present the answer

Pro Strategy: Even when multiple students share a rank, the rank number itself indicates how many students are ahead. The number of students who scored more is always rank - 1, regardless of ties.

Example Problem

Example: In an exam with 100 students, 3 students secured the 5th rank. How many students scored more than them? Solution: Step 1: Rank = 5, ties = 3, Total = 100 Step 2: Students who scored more = Rank - 1 = 5 - 1 = 4 Answer: 4 students

Pro Tips & Tricks

  • Students above = Rank - 1 (unaffected by ties)
  • Students with same rank = given tie count
  • Students below = Total - (Rank + ties - 1)
  • The rank number is the position counting from top
  • If 3 students share rank 5, then ranks 1-4 are 4 students, then 3 students at rank 5

Shortcut Methods to Solve Faster

Above = Rank - 1
Same = ties
Below = Total - Rank - ties + 1
Total = Above + Same + Below

Common Mistakes to Avoid

Subtracting ties from above count (ties don't affect above count)
Forgetting that ties occupy multiple positions in the sequence
Using rank to calculate below incorrectly

Exam Importance

Ranking with Ties is an important topic for various competitive exams. Here's how frequently it appears:

SSC CGL
1-2 questions
BANKING PO
1-2 questions
RAILWAYS RRB
1-2 questions
CAT
0-1 questions
INSURANCE
1-2 questions

Ready to Master Ranking with Ties?

Start with Worksheet 1 and work your way up to expert level! Each worksheet includes:

20 practice questions
Detailed solutions
Step-by-step explanations
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